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Finding the Fourth Proportional to 948.12, 1,422.38 and 537.45

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Solution

The fourth proportional to 948.12, 1,422.38 and 537.45 is: 806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.12 : 1,422.38 = 537.45 : x
  2. Step 2: Convert to fraction form
    948.12/1,422.38 = 537.45/x
  3. Step 3: Cross multiply
    948.12x = 1,422.38 × 537.45
  4. Step 4: Simplify right side
    948.12x = 764,459.47
  5. Step 5: Solve for x
    x = 764,459.47/948.12
  6. Step 6: Final answer
    x = 806.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.